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A note on the extremal noncentral sections of the cross-polytope

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 نشر من قبل Ruoyuan Liu
 تاريخ النشر 2019
  مجال البحث
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We find minimal and maximal length of intersections of lines at a fixed distance to the origin with the cross-polytope. We also find maximal volume noncentral sections of the cross-polypote by hyperplanes which are at a fixed large distance to the origin and minimal volume sections by symmetric slabs of a large fixed width. This parallels recent results about noncentral sections of the cube due to Moody, Stone, Zach and Zvavitch.



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